<HTML>
<BODY BGCOLOR="white">
<PRE>
<FONT color="green">001</FONT>    /*<a name="line.1"></a>
<FONT color="green">002</FONT>     * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
<FONT color="green">003</FONT>     * contributor license agreements.  See the NOTICE file distributed with<a name="line.3"></a>
<FONT color="green">004</FONT>     * this work for additional information regarding copyright ownership.<a name="line.4"></a>
<FONT color="green">005</FONT>     * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
<FONT color="green">006</FONT>     * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
<FONT color="green">007</FONT>     * the License.  You may obtain a copy of the License at<a name="line.7"></a>
<FONT color="green">008</FONT>     *<a name="line.8"></a>
<FONT color="green">009</FONT>     *      http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
<FONT color="green">010</FONT>     *<a name="line.10"></a>
<FONT color="green">011</FONT>     * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
<FONT color="green">012</FONT>     * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
<FONT color="green">013</FONT>     * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
<FONT color="green">014</FONT>     * See the License for the specific language governing permissions and<a name="line.14"></a>
<FONT color="green">015</FONT>     * limitations under the License.<a name="line.15"></a>
<FONT color="green">016</FONT>     */<a name="line.16"></a>
<FONT color="green">017</FONT>    package org.apache.commons.math3.geometry.euclidean.twod;<a name="line.17"></a>
<FONT color="green">018</FONT>    <a name="line.18"></a>
<FONT color="green">019</FONT>    import java.util.ArrayList;<a name="line.19"></a>
<FONT color="green">020</FONT>    import java.util.List;<a name="line.20"></a>
<FONT color="green">021</FONT>    <a name="line.21"></a>
<FONT color="green">022</FONT>    import org.apache.commons.math3.geometry.euclidean.oned.Euclidean1D;<a name="line.22"></a>
<FONT color="green">023</FONT>    import org.apache.commons.math3.geometry.euclidean.oned.Interval;<a name="line.23"></a>
<FONT color="green">024</FONT>    import org.apache.commons.math3.geometry.euclidean.oned.IntervalsSet;<a name="line.24"></a>
<FONT color="green">025</FONT>    import org.apache.commons.math3.geometry.euclidean.oned.OrientedPoint;<a name="line.25"></a>
<FONT color="green">026</FONT>    import org.apache.commons.math3.geometry.euclidean.oned.Vector1D;<a name="line.26"></a>
<FONT color="green">027</FONT>    import org.apache.commons.math3.geometry.partitioning.AbstractSubHyperplane;<a name="line.27"></a>
<FONT color="green">028</FONT>    import org.apache.commons.math3.geometry.partitioning.BSPTree;<a name="line.28"></a>
<FONT color="green">029</FONT>    import org.apache.commons.math3.geometry.partitioning.Hyperplane;<a name="line.29"></a>
<FONT color="green">030</FONT>    import org.apache.commons.math3.geometry.partitioning.Region;<a name="line.30"></a>
<FONT color="green">031</FONT>    import org.apache.commons.math3.geometry.partitioning.Region.Location;<a name="line.31"></a>
<FONT color="green">032</FONT>    import org.apache.commons.math3.geometry.partitioning.Side;<a name="line.32"></a>
<FONT color="green">033</FONT>    import org.apache.commons.math3.geometry.partitioning.SubHyperplane;<a name="line.33"></a>
<FONT color="green">034</FONT>    import org.apache.commons.math3.util.FastMath;<a name="line.34"></a>
<FONT color="green">035</FONT>    <a name="line.35"></a>
<FONT color="green">036</FONT>    /** This class represents a sub-hyperplane for {@link Line}.<a name="line.36"></a>
<FONT color="green">037</FONT>     * @version $Id: SubLine.java 1416643 2012-12-03 19:37:14Z tn $<a name="line.37"></a>
<FONT color="green">038</FONT>     * @since 3.0<a name="line.38"></a>
<FONT color="green">039</FONT>     */<a name="line.39"></a>
<FONT color="green">040</FONT>    public class SubLine extends AbstractSubHyperplane&lt;Euclidean2D, Euclidean1D&gt; {<a name="line.40"></a>
<FONT color="green">041</FONT>    <a name="line.41"></a>
<FONT color="green">042</FONT>        /** Simple constructor.<a name="line.42"></a>
<FONT color="green">043</FONT>         * @param hyperplane underlying hyperplane<a name="line.43"></a>
<FONT color="green">044</FONT>         * @param remainingRegion remaining region of the hyperplane<a name="line.44"></a>
<FONT color="green">045</FONT>         */<a name="line.45"></a>
<FONT color="green">046</FONT>        public SubLine(final Hyperplane&lt;Euclidean2D&gt; hyperplane,<a name="line.46"></a>
<FONT color="green">047</FONT>                       final Region&lt;Euclidean1D&gt; remainingRegion) {<a name="line.47"></a>
<FONT color="green">048</FONT>            super(hyperplane, remainingRegion);<a name="line.48"></a>
<FONT color="green">049</FONT>        }<a name="line.49"></a>
<FONT color="green">050</FONT>    <a name="line.50"></a>
<FONT color="green">051</FONT>        /** Create a sub-line from two endpoints.<a name="line.51"></a>
<FONT color="green">052</FONT>         * @param start start point<a name="line.52"></a>
<FONT color="green">053</FONT>         * @param end end point<a name="line.53"></a>
<FONT color="green">054</FONT>         */<a name="line.54"></a>
<FONT color="green">055</FONT>        public SubLine(final Vector2D start, final Vector2D end) {<a name="line.55"></a>
<FONT color="green">056</FONT>            super(new Line(start, end), buildIntervalSet(start, end));<a name="line.56"></a>
<FONT color="green">057</FONT>        }<a name="line.57"></a>
<FONT color="green">058</FONT>    <a name="line.58"></a>
<FONT color="green">059</FONT>        /** Create a sub-line from a segment.<a name="line.59"></a>
<FONT color="green">060</FONT>         * @param segment single segment forming the sub-line<a name="line.60"></a>
<FONT color="green">061</FONT>         */<a name="line.61"></a>
<FONT color="green">062</FONT>        public SubLine(final Segment segment) {<a name="line.62"></a>
<FONT color="green">063</FONT>            super(segment.getLine(), buildIntervalSet(segment.getStart(), segment.getEnd()));<a name="line.63"></a>
<FONT color="green">064</FONT>        }<a name="line.64"></a>
<FONT color="green">065</FONT>    <a name="line.65"></a>
<FONT color="green">066</FONT>        /** Get the endpoints of the sub-line.<a name="line.66"></a>
<FONT color="green">067</FONT>         * &lt;p&gt;<a name="line.67"></a>
<FONT color="green">068</FONT>         * A subline may be any arbitrary number of disjoints segments, so the endpoints<a name="line.68"></a>
<FONT color="green">069</FONT>         * are provided as a list of endpoint pairs. Each element of the list represents<a name="line.69"></a>
<FONT color="green">070</FONT>         * one segment, and each segment contains a start point at index 0 and an end point<a name="line.70"></a>
<FONT color="green">071</FONT>         * at index 1. If the sub-line is unbounded in the negative infinity direction,<a name="line.71"></a>
<FONT color="green">072</FONT>         * the start point of the first segment will have infinite coordinates. If the<a name="line.72"></a>
<FONT color="green">073</FONT>         * sub-line is unbounded in the positive infinity direction, the end point of the<a name="line.73"></a>
<FONT color="green">074</FONT>         * last segment will have infinite coordinates. So a sub-line covering the whole<a name="line.74"></a>
<FONT color="green">075</FONT>         * line will contain just one row and both elements of this row will have infinite<a name="line.75"></a>
<FONT color="green">076</FONT>         * coordinates. If the sub-line is empty, the returned list will contain 0 segments.<a name="line.76"></a>
<FONT color="green">077</FONT>         * &lt;/p&gt;<a name="line.77"></a>
<FONT color="green">078</FONT>         * @return list of segments endpoints<a name="line.78"></a>
<FONT color="green">079</FONT>         */<a name="line.79"></a>
<FONT color="green">080</FONT>        public List&lt;Segment&gt; getSegments() {<a name="line.80"></a>
<FONT color="green">081</FONT>    <a name="line.81"></a>
<FONT color="green">082</FONT>            final Line line = (Line) getHyperplane();<a name="line.82"></a>
<FONT color="green">083</FONT>            final List&lt;Interval&gt; list = ((IntervalsSet) getRemainingRegion()).asList();<a name="line.83"></a>
<FONT color="green">084</FONT>            final List&lt;Segment&gt; segments = new ArrayList&lt;Segment&gt;();<a name="line.84"></a>
<FONT color="green">085</FONT>    <a name="line.85"></a>
<FONT color="green">086</FONT>            for (final Interval interval : list) {<a name="line.86"></a>
<FONT color="green">087</FONT>                final Vector2D start = line.toSpace(new Vector1D(interval.getInf()));<a name="line.87"></a>
<FONT color="green">088</FONT>                final Vector2D end   = line.toSpace(new Vector1D(interval.getSup()));<a name="line.88"></a>
<FONT color="green">089</FONT>                segments.add(new Segment(start, end, line));<a name="line.89"></a>
<FONT color="green">090</FONT>            }<a name="line.90"></a>
<FONT color="green">091</FONT>    <a name="line.91"></a>
<FONT color="green">092</FONT>            return segments;<a name="line.92"></a>
<FONT color="green">093</FONT>    <a name="line.93"></a>
<FONT color="green">094</FONT>        }<a name="line.94"></a>
<FONT color="green">095</FONT>    <a name="line.95"></a>
<FONT color="green">096</FONT>        /** Get the intersection of the instance and another sub-line.<a name="line.96"></a>
<FONT color="green">097</FONT>         * &lt;p&gt;<a name="line.97"></a>
<FONT color="green">098</FONT>         * This method is related to the {@link Line#intersection(Line)<a name="line.98"></a>
<FONT color="green">099</FONT>         * intersection} method in the {@link Line Line} class, but in addition<a name="line.99"></a>
<FONT color="green">100</FONT>         * to compute the point along infinite lines, it also checks the point<a name="line.100"></a>
<FONT color="green">101</FONT>         * lies on both sub-line ranges.<a name="line.101"></a>
<FONT color="green">102</FONT>         * &lt;/p&gt;<a name="line.102"></a>
<FONT color="green">103</FONT>         * @param subLine other sub-line which may intersect instance<a name="line.103"></a>
<FONT color="green">104</FONT>         * @param includeEndPoints if true, endpoints are considered to belong to<a name="line.104"></a>
<FONT color="green">105</FONT>         * instance (i.e. they are closed sets) and may be returned, otherwise endpoints<a name="line.105"></a>
<FONT color="green">106</FONT>         * are considered to not belong to instance (i.e. they are open sets) and intersection<a name="line.106"></a>
<FONT color="green">107</FONT>         * occurring on endpoints lead to null being returned<a name="line.107"></a>
<FONT color="green">108</FONT>         * @return the intersection point if there is one, null if the sub-lines don't intersect<a name="line.108"></a>
<FONT color="green">109</FONT>         */<a name="line.109"></a>
<FONT color="green">110</FONT>        public Vector2D intersection(final SubLine subLine, final boolean includeEndPoints) {<a name="line.110"></a>
<FONT color="green">111</FONT>    <a name="line.111"></a>
<FONT color="green">112</FONT>            // retrieve the underlying lines<a name="line.112"></a>
<FONT color="green">113</FONT>            Line line1 = (Line) getHyperplane();<a name="line.113"></a>
<FONT color="green">114</FONT>            Line line2 = (Line) subLine.getHyperplane();<a name="line.114"></a>
<FONT color="green">115</FONT>    <a name="line.115"></a>
<FONT color="green">116</FONT>            // compute the intersection on infinite line<a name="line.116"></a>
<FONT color="green">117</FONT>            Vector2D v2D = line1.intersection(line2);<a name="line.117"></a>
<FONT color="green">118</FONT>    <a name="line.118"></a>
<FONT color="green">119</FONT>            // check location of point with respect to first sub-line<a name="line.119"></a>
<FONT color="green">120</FONT>            Location loc1 = getRemainingRegion().checkPoint(line1.toSubSpace(v2D));<a name="line.120"></a>
<FONT color="green">121</FONT>    <a name="line.121"></a>
<FONT color="green">122</FONT>            // check location of point with respect to second sub-line<a name="line.122"></a>
<FONT color="green">123</FONT>            Location loc2 = subLine.getRemainingRegion().checkPoint(line2.toSubSpace(v2D));<a name="line.123"></a>
<FONT color="green">124</FONT>    <a name="line.124"></a>
<FONT color="green">125</FONT>            if (includeEndPoints) {<a name="line.125"></a>
<FONT color="green">126</FONT>                return ((loc1 != Location.OUTSIDE) &amp;&amp; (loc2 != Location.OUTSIDE)) ? v2D : null;<a name="line.126"></a>
<FONT color="green">127</FONT>            } else {<a name="line.127"></a>
<FONT color="green">128</FONT>                return ((loc1 == Location.INSIDE) &amp;&amp; (loc2 == Location.INSIDE)) ? v2D : null;<a name="line.128"></a>
<FONT color="green">129</FONT>            }<a name="line.129"></a>
<FONT color="green">130</FONT>    <a name="line.130"></a>
<FONT color="green">131</FONT>        }<a name="line.131"></a>
<FONT color="green">132</FONT>    <a name="line.132"></a>
<FONT color="green">133</FONT>        /** Build an interval set from two points.<a name="line.133"></a>
<FONT color="green">134</FONT>         * @param start start point<a name="line.134"></a>
<FONT color="green">135</FONT>         * @param end end point<a name="line.135"></a>
<FONT color="green">136</FONT>         * @return an interval set<a name="line.136"></a>
<FONT color="green">137</FONT>         */<a name="line.137"></a>
<FONT color="green">138</FONT>        private static IntervalsSet buildIntervalSet(final Vector2D start, final Vector2D end) {<a name="line.138"></a>
<FONT color="green">139</FONT>            final Line line = new Line(start, end);<a name="line.139"></a>
<FONT color="green">140</FONT>            return new IntervalsSet(line.toSubSpace(start).getX(),<a name="line.140"></a>
<FONT color="green">141</FONT>                                    line.toSubSpace(end).getX());<a name="line.141"></a>
<FONT color="green">142</FONT>        }<a name="line.142"></a>
<FONT color="green">143</FONT>    <a name="line.143"></a>
<FONT color="green">144</FONT>        /** {@inheritDoc} */<a name="line.144"></a>
<FONT color="green">145</FONT>        @Override<a name="line.145"></a>
<FONT color="green">146</FONT>        protected AbstractSubHyperplane&lt;Euclidean2D, Euclidean1D&gt; buildNew(final Hyperplane&lt;Euclidean2D&gt; hyperplane,<a name="line.146"></a>
<FONT color="green">147</FONT>                                                                           final Region&lt;Euclidean1D&gt; remainingRegion) {<a name="line.147"></a>
<FONT color="green">148</FONT>            return new SubLine(hyperplane, remainingRegion);<a name="line.148"></a>
<FONT color="green">149</FONT>        }<a name="line.149"></a>
<FONT color="green">150</FONT>    <a name="line.150"></a>
<FONT color="green">151</FONT>        /** {@inheritDoc} */<a name="line.151"></a>
<FONT color="green">152</FONT>        @Override<a name="line.152"></a>
<FONT color="green">153</FONT>        public Side side(final Hyperplane&lt;Euclidean2D&gt; hyperplane) {<a name="line.153"></a>
<FONT color="green">154</FONT>    <a name="line.154"></a>
<FONT color="green">155</FONT>            final Line    thisLine  = (Line) getHyperplane();<a name="line.155"></a>
<FONT color="green">156</FONT>            final Line    otherLine = (Line) hyperplane;<a name="line.156"></a>
<FONT color="green">157</FONT>            final Vector2D crossing  = thisLine.intersection(otherLine);<a name="line.157"></a>
<FONT color="green">158</FONT>    <a name="line.158"></a>
<FONT color="green">159</FONT>            if (crossing == null) {<a name="line.159"></a>
<FONT color="green">160</FONT>                // the lines are parallel,<a name="line.160"></a>
<FONT color="green">161</FONT>                final double global = otherLine.getOffset(thisLine);<a name="line.161"></a>
<FONT color="green">162</FONT>                return (global &lt; -1.0e-10) ? Side.MINUS : ((global &gt; 1.0e-10) ? Side.PLUS : Side.HYPER);<a name="line.162"></a>
<FONT color="green">163</FONT>            }<a name="line.163"></a>
<FONT color="green">164</FONT>    <a name="line.164"></a>
<FONT color="green">165</FONT>            // the lines do intersect<a name="line.165"></a>
<FONT color="green">166</FONT>            final boolean direct = FastMath.sin(thisLine.getAngle() - otherLine.getAngle()) &lt; 0;<a name="line.166"></a>
<FONT color="green">167</FONT>            final Vector1D x = thisLine.toSubSpace(crossing);<a name="line.167"></a>
<FONT color="green">168</FONT>            return getRemainingRegion().side(new OrientedPoint(x, direct));<a name="line.168"></a>
<FONT color="green">169</FONT>    <a name="line.169"></a>
<FONT color="green">170</FONT>        }<a name="line.170"></a>
<FONT color="green">171</FONT>    <a name="line.171"></a>
<FONT color="green">172</FONT>        /** {@inheritDoc} */<a name="line.172"></a>
<FONT color="green">173</FONT>        @Override<a name="line.173"></a>
<FONT color="green">174</FONT>        public SplitSubHyperplane&lt;Euclidean2D&gt; split(final Hyperplane&lt;Euclidean2D&gt; hyperplane) {<a name="line.174"></a>
<FONT color="green">175</FONT>    <a name="line.175"></a>
<FONT color="green">176</FONT>            final Line    thisLine  = (Line) getHyperplane();<a name="line.176"></a>
<FONT color="green">177</FONT>            final Line    otherLine = (Line) hyperplane;<a name="line.177"></a>
<FONT color="green">178</FONT>            final Vector2D crossing  = thisLine.intersection(otherLine);<a name="line.178"></a>
<FONT color="green">179</FONT>    <a name="line.179"></a>
<FONT color="green">180</FONT>            if (crossing == null) {<a name="line.180"></a>
<FONT color="green">181</FONT>                // the lines are parallel<a name="line.181"></a>
<FONT color="green">182</FONT>                final double global = otherLine.getOffset(thisLine);<a name="line.182"></a>
<FONT color="green">183</FONT>                return (global &lt; -1.0e-10) ?<a name="line.183"></a>
<FONT color="green">184</FONT>                       new SplitSubHyperplane&lt;Euclidean2D&gt;(null, this) :<a name="line.184"></a>
<FONT color="green">185</FONT>                       new SplitSubHyperplane&lt;Euclidean2D&gt;(this, null);<a name="line.185"></a>
<FONT color="green">186</FONT>            }<a name="line.186"></a>
<FONT color="green">187</FONT>    <a name="line.187"></a>
<FONT color="green">188</FONT>            // the lines do intersect<a name="line.188"></a>
<FONT color="green">189</FONT>            final boolean direct = FastMath.sin(thisLine.getAngle() - otherLine.getAngle()) &lt; 0;<a name="line.189"></a>
<FONT color="green">190</FONT>            final Vector1D x      = thisLine.toSubSpace(crossing);<a name="line.190"></a>
<FONT color="green">191</FONT>            final SubHyperplane&lt;Euclidean1D&gt; subPlus  = new OrientedPoint(x, !direct).wholeHyperplane();<a name="line.191"></a>
<FONT color="green">192</FONT>            final SubHyperplane&lt;Euclidean1D&gt; subMinus = new OrientedPoint(x,  direct).wholeHyperplane();<a name="line.192"></a>
<FONT color="green">193</FONT>    <a name="line.193"></a>
<FONT color="green">194</FONT>            final BSPTree&lt;Euclidean1D&gt; splitTree = getRemainingRegion().getTree(false).split(subMinus);<a name="line.194"></a>
<FONT color="green">195</FONT>            final BSPTree&lt;Euclidean1D&gt; plusTree  = getRemainingRegion().isEmpty(splitTree.getPlus()) ?<a name="line.195"></a>
<FONT color="green">196</FONT>                                                   new BSPTree&lt;Euclidean1D&gt;(Boolean.FALSE) :<a name="line.196"></a>
<FONT color="green">197</FONT>                                                   new BSPTree&lt;Euclidean1D&gt;(subPlus, new BSPTree&lt;Euclidean1D&gt;(Boolean.FALSE),<a name="line.197"></a>
<FONT color="green">198</FONT>                                                                            splitTree.getPlus(), null);<a name="line.198"></a>
<FONT color="green">199</FONT>            final BSPTree&lt;Euclidean1D&gt; minusTree = getRemainingRegion().isEmpty(splitTree.getMinus()) ?<a name="line.199"></a>
<FONT color="green">200</FONT>                                                   new BSPTree&lt;Euclidean1D&gt;(Boolean.FALSE) :<a name="line.200"></a>
<FONT color="green">201</FONT>                                                   new BSPTree&lt;Euclidean1D&gt;(subMinus, new BSPTree&lt;Euclidean1D&gt;(Boolean.FALSE),<a name="line.201"></a>
<FONT color="green">202</FONT>                                                                            splitTree.getMinus(), null);<a name="line.202"></a>
<FONT color="green">203</FONT>    <a name="line.203"></a>
<FONT color="green">204</FONT>            return new SplitSubHyperplane&lt;Euclidean2D&gt;(new SubLine(thisLine.copySelf(), new IntervalsSet(plusTree)),<a name="line.204"></a>
<FONT color="green">205</FONT>                                                       new SubLine(thisLine.copySelf(), new IntervalsSet(minusTree)));<a name="line.205"></a>
<FONT color="green">206</FONT>    <a name="line.206"></a>
<FONT color="green">207</FONT>        }<a name="line.207"></a>
<FONT color="green">208</FONT>    <a name="line.208"></a>
<FONT color="green">209</FONT>    }<a name="line.209"></a>




























































</PRE>
</BODY>
</HTML>
